'''                                                                                                           
      todo                                                           ,111,                                   
                                                                     0111                                   
                                        ,                            0110                                   
                                       000,           1              ,111                                   
                                        000000,        1              0111                                  
                                        100000000,      0             0110                                  
                                         00000000001    ,0            ,111                                  
                                         000000000000,   0             111,                                 
                                         ,0000000000000, 00            0111                                 
                                         00000000000000 00             1110                                 
                    10000000000000000,    00000000000000100             111,                                
                     ,0000000000000000000,,0000000000000000            ,0111                                
                        00000000000000000000000000000000000             1110                                
                          00000000000000000000000000000000000000        ,111,                               
                            10000000000000000000000000000000000000       0111                               
                              ,000000000000000000000000000000000000      1110                               
                                ,000000000000000000000000000000000000 00 1111                               
                               ,000000000000000000000000000000000000000001111100000                         
                              ,100000000000000000000000000000000000000000001110000001                       
                       100000000000000000000000000000000000000000000000000001100000                         
                  000000000000000000000000000,,000000000010000000000000000011101                            
                       10000000000000000000,,,,0000000,1,1000000100000000000110000,                         
                            100000000000001,0,,00000, 1,,100000,10000000000011100000,                       
                                 1000010000,,00000,,,1,,,1000,00000000000000111000,                         
                                 01000 ,0010,, 000 ,,,,,,10000,0,001,000000101110                           
                           100000000000,,,,,,    ,,0,,,,10    1,1,,,0010000 1110                            
                                  010000,,1,,     ,11  01     ,,1,10000000   1011                           
                                    01000,1,,,    ,,,,,,1    ,,,1,001,,      0110                           
                      00001,               1,,,,,,,,,,,,,,,,,,,,,            1110                           
                     1000000000              ,,,,,,,111,,,,,,,,               1110                          
                           000000,100011      , , ,,,,,,, ,,                  0111                          
                             000001011111,,111,11,,,,,,,,,111111111,          11101,                        
                               0000,110100111111,11,,,,,,,,,11111101        ,,,011001                       
                                0001,11,,,,0111111111,,,,1,,,1111111     100,,,100110                       
                                ,0010,,,,,,,11111111,11,, ,,11101111,,,,,000,,,010111                       
                                 00,,,,,,,,,0101111111,01,,,11111100,,,,,0011,,111110                       
                                0,,,,,,,,,,,001111111110,011,1,,,110,,,,,,000,011101                        
                              ,,,,,,,,,,,1,010111111111110,0,000 ,10,,,,,,,01   0110                        
                              1,,,,,,,1,1010111111101111110111 11011,           1110                        
                               ,,,,,,,,10100101111111011111111111011,            111,                       
                               ,,,,,,10001,,01000011110101111110,,0,             0110                       
                                 00000011,,,,1000000000000000000000,             1110                       
                                   0001,,,,,,,1111110111100100011111,             111,                      
                                     0,,,,,,1011011111110001100111111             0110                      
                                       1,,001111111011100011100011110             1110                      
                                      ,1101111111111111000101100011110            ,111,                     
                                      11110111111111110001101100001111,            0111                     
                                     ,000111111111111000010111100011110            1110                     
                                     11011111111111100000011111000111110           ,111                     
                                    ,11011111111111111101111001000011111,           0111                    
                                   ,1001111111111111111111101010001111111           0110                    
                                   0111110011111111110,  0110110111111011,          ,111                    
                                   0111110001111111110    011111111111101,           0111                   
                                  ,01000111111110101,      ,0111101001111            0110                   
                                  01010011111111011,          0010111001,1           ,110                   
                                   11100011010100,             10000,  100000,        111,                  
                                   1000001011110                ,1100000000000,       0110                  
                                  00     00                                           1110                  
                                 0000000000                                           ,111,                 
                                 100000000,                                                                 
                                   ,1001,                                                                   
  '''
